You can buy a plastic washer for the spindle. But, they are easy to make.

I made mine from a lid for a 5 gallon bucket. Cut a piece of plastic, larger than the spindle section of you chuck, drill/cut a hole the size of your spindle. The place your plastic washer on the spindle and tighten the chuck.

I used my skew to trim the plastic “washer” on the lathe, until it was round and closer in size.

-- The more I work with wood the more I recognize only God can make something as beautiful as a tree. I hope my humble attempts at this craft do justice by His masterpiece. -- Tim

The plastic washer is probably the best solution. I have never had this problem because I always snug the chuck and face plates up gently by hand. If it is even a little loose the force when you turn the lathe on will really jam it tight.